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Home » b = \sqrt144 = 12 \text inches - AMAZONAWS

b = \sqrt144 = 12 \text inches - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 x^2 + 2x - 11 = 0

📌 x = \frac{-2 \pm \sqrt{4 + 44}}{2} = \frac{-2 \pm \sqrt{48}}{2}

📌 x = \frac{-2 \pm 4\sqrt{3}}{2} = -1 \pm 2\sqrt{3}

📌 Valid solution (since \(x > 1\)):

📌 x = -1 + 2\sqrt{3}

📌 A company's profit function is modeled by \(P(x) = -5x^2 + 150x - 1000\), where \(x\) is the number of units sold. Find the number of units that maximizes profit.

📌 Use the vertex formula \(x = -\frac{b}{2a}\):

📌 x = -\frac{150}{2(-5)} = \frac{150}{10} = 15

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#### 6.469e21
An epidemiologist models a disease with a basic reproduction number R₀...
Generation 0: 1
Generation 1: 1 × 2.5 = 2.5
Generation 2: 2.5 × 2.5 = 6.25
Generation 3: 6.25 × 2.5 = 15.625
Generation 4: 15.625 × 2.5 = 39.0625
Total cases = 1 + 2.5 + 6.25 + 15.625 + 39.0625 = 64.4375 ≈ 64.44
But since we count cumulative infections including initial, and model...
Sum = (rⁿ⁺¹ - 1)/(r - 1) = (2.5⁵ - 1)/(2.5 - 1) = (97.65625 - 1)/1.5 =...

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